Pexeso

Drawing paper has dimensions of 60cm and 840mm. Pupils have to divide it into squares so that they can make a pexeso. What dimension must squares have if their side is to be larger than 3cm and less than 10cm?

Correct result:

x1 =  60 mm
x2 =  40 mm

Solution:

a=60 cm mm=60 10  mm=600 mm b=840 mm  600=23352 840=23357 GCD(600,840)=2335=120  y=GCD(a,b)=GCD(600,840)=120  30<x<100  x1=y/2=120/2=60 mm
x2=y/3=120/3=40 mm



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Do you want to calculate least common multiple two or more numbers?
Do you want to calculate greatest common divisor two or more numbers?
Do you want to convert length units?

 
We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

  • Customary length
    inch Convert length 65yd 2 ft to ft
  • Pencil cut
    tuzky_2 Veronika cut 10cm pencil. Each turn, the pencil was reduced by 0.2mm. She turned the pencil 100 times. How many centimeters has a pencil now?
  • A section
    boardwalk A section of the boardwalk is made of 15 boards. Each board is 9 1/4 inches wide. The total width of the boardwalk is 144 inches. The spacing between each board is equal. What is the width of the spacing between the boards?
  • Photo enlarge
    photo Mark wants to enlarge a 4-inch by 6-inch photo so that it has a height of 15inches. Use a ratio table to determine the new width of the photo.
  • Picture frames
    picture_frame Destiny has to make 24 picture frames. Each frame uses 16 3/8 wood trim. 2/3 were completed on the first day. How many inches of wood trim is needed to complete the remaining frames on the second day?
  • Lcm simple
    lcm_gears Find least common multiple of this two numbers: 140 175.
  • Wood dividing
    meter_23 Which equation calculates the number of 1/3-foot pieces that can be cut from a piece of wood that is 7 feet long?
  • Bicycle wheels
    kolo_1 Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?
  • Balls groups
    gulky_5 Karel pulled the balls out of his pocket and divide it into the groups. He could divide them in four, six or seven, and no ball ever left. How little could be a ball?
  • Counting number
    numbers2_49 What is the smallest counting number divisible by 2,5,7,8 and 15?
  • Lcm of three numbers
    prime What is the Lcm of 120 15 and 5
  • Steps
    steps Walkway from the house to the school is 180 m long. How many more steps Michael makes than his father on the way to school, if the length of Michael's step is 60 cm and the length of his father's step is 90 cm.
  • Rectangular flowerbed
    zahon_1 Around the rectangular flowerbed with dimensions of 5.25 m and 3.50 m, roses should be planted at the same distance from each other so that the roses are located in each corner of the flower bed and are consumed as little as possible. How far do we plant
  • Flowerbeds
    meter_24 What is the smallest length of flowerbeds we have to prepare to plant seedlings at grid 20,30,25,40 cm?
  • Steps
    steps_2 Peter makes steps long 70 cm, John 45 cm long. After how many meters their footsteps meet?
  • Sponsor
    tenis_2 The children of the tennis school received 64 white and 48 yellow balls from the sponsor. When asked about how many balls they could take, they were answered: "You have so many that none of you will have more than 10 balls and all will have the same numbe
  • Dressmaker
    singer Dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters dress. What a piece of canvas left her?